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Finding the Fourth Proportional to 452,384.48, 677,542.91 and 215,893.24

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Solution

The fourth proportional to 452,384.48, 677,542.91 and 215,893.24 is: 323,346.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,384.48 : 677,542.91 = 215,893.24 : x
  2. Step 2: Convert to fraction form
    452,384.48/677,542.91 = 215,893.24/x
  3. Step 3: Cross multiply
    452,384.48x = 677,542.91 × 215,893.24
  4. Step 4: Simplify right side
    452,384.48x = 146,276,934,078.93
  5. Step 5: Solve for x
    x = 146,276,934,078.93/452,384.48
  6. Step 6: Final answer
    x = 323,346.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.